A stratified dispersive wave model withhigh-order nonreflecting boundary conditions

A layered-model is introduced to approximate the effects of stratification on linearizedshallow water equations. This time-dependent dispersive wave model is appropriate for describing geophysical (e.g., atmospheric or oceanic) dynamics. However, computational models that embrace these very large domains that are global in magnitude can quickly overwhelm computer capabilities. The domain is therefore truncated via artificial boundaries, and nonreflecting boundary conditions (NRBC) devised by Higdon are imposed. A scheme previously proposed by Neta and Givoli that easily discretizes high-order Higdon NRBCs is used. The problem is solved by finite difference (FD) methods. Numerical examples follow the discussion.